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The Acoustic Attenuation Prediction for Seafloor Sediment Based on in-situ Data and Machine Learning Methods
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作者 WANG Jingqiang HOU Zhengyu +6 位作者 CHEN Yinglin LI Guanbao KAN Guangming XIAO Peng LI Zhenglin MO Dinghao HUANG Jingyi 《Journal of Ocean University of China》 2025年第1期95-102,共8页
Accurate acquisition and prediction of acoustic parameters of seabed sediments are crucial in marine sound propagation research.While the relationship between sound velocity and physical properties of sediment has bee... Accurate acquisition and prediction of acoustic parameters of seabed sediments are crucial in marine sound propagation research.While the relationship between sound velocity and physical properties of sediment has been extensively studied,there is still no consensus on the correlation between acoustic attenuation coefficient and sediment physical properties.Predicting the acoustic attenuation coefficient remains a challenging issue in sedimentary acoustic research.In this study,we propose a prediction method for the acoustic attenuation coefficient using machine learning algorithms,specifically the random forest(RF),support vector machine(SVR),and convolutional neural network(CNN)algorithms.We utilized the acoustic attenuation coefficient and sediment particle size data from 52 stations as training parameters,with the particle size parameters as the input feature matrix,and measured acoustic attenuation as the training label to validate the attenuation prediction model.Our results indicate that the error of the attenuation prediction model is small.Among the three models,the RF model exhibited the lowest prediction error,with a mean squared error of 0.8232,mean absolute error of 0.6613,and root mean squared error of 0.9073.Additionally,when we applied the models to predict the data collected at different times in the same region,we found that the models developed in this study also demonstrated a certain level of reliability in real prediction scenarios.Our approach demonstrates that constructing a sediment acoustic characteristics model based on machine learning is feasible to a certain extent and offers a novel perspective for studying sediment acoustic properties. 展开更多
关键词 in-situ measurement ATTENUATION seafloor sediment machine learning methods
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A method for determining the complex refractive index dispersion of absorbing materials without thickness information
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作者 DENG Zhichao MEI Jianchun +2 位作者 WANG Jin YE Qing TIAN Jianguo 《Optoelectronics Letters》 EI 2024年第11期676-680,共5页
The complex refractive index dispersion(CRID)of absorbing materials is very important in many fields,especially in printing industry and medical research.However,due to their strong absorbing,CRID determination is sti... The complex refractive index dispersion(CRID)of absorbing materials is very important in many fields,especially in printing industry and medical research.However,due to their strong absorbing,CRID determination is still a challenge.In this study,without diluting treatment or the thickness information,a method is proposed to calculate the CRID of absorbing materials,based merely on the reflectance and transmittance spectra measurements.The method separates the CRID into absorbing part and transparent part based on Kramers-Kronig relations,and it also uses the common Cauchy dispersion formula and Fresnel reflection formula.The CRID of methyl-red-doped poly(methyl methacrylate)(MR-PMMA)(3%mass fraction)and hemoglobin(Hb)solutions(320 g/L)are determined over the spectral range from 400 nm to 750 nm,and the result shows good stability and consistency of the method. 展开更多
关键词 method absorbing dispersion
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In-situ Characterization of Non-aqueous Nano-dispersion Systems by Freeze-etching TEM and Comparative Study with Laser Scattering Method
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作者 欧忠文 《Journal of Wuhan University of Technology(Materials Science)》 SCIE EI CAS 2010年第3期432-436,共5页
In-situ characterization of non-aqueous nano-dispersion systems(NANDS) by freeze-etching transmission electron microscope(FETEM) was reported.To improve just-for-once successive rate of specimen preparation and ge... In-situ characterization of non-aqueous nano-dispersion systems(NANDS) by freeze-etching transmission electron microscope(FETEM) was reported.To improve just-for-once successive rate of specimen preparation and get good characterization results,an improving specimen preparation method of freezing etching was developed.Size,distribution and morphology of NANDS were directly visualized.Some information of particle dispersion feature and particle density can also be obtained.Reproductivity of the FETEM characterization is excellent.Comparing with laser scattering method,which is liable to give positive error especially for small size particle anchoring disperser,FETEM characterization can give more accurate measurement of particle size.Moreover,FETEM can give dispersion feature of nanoparticle in non-aqueous medium. 展开更多
关键词 non-aqueous nano-dispersion system dispersion state in-situ characterization FREEZE-ETCHING laser scattering method
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Support design method for deep soft-rock tunnels in non-hydrostatic high in-situ stress field 被引量:1
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作者 ZHENG Ke-yue SHI Cheng-hua +3 位作者 ZHAO Qian-jin LEI Ming-feng JIA Chao-jun PENG Zhu 《Journal of Central South University》 SCIE EI CAS CSCD 2024年第7期2431-2445,共15页
Due to the long-term plate tectonic movements in southwestern China,the in-situ stress field in deep formations is complex.When passing through deep soft-rock mass under non-hydrostatic high in-situ stress field,tunne... Due to the long-term plate tectonic movements in southwestern China,the in-situ stress field in deep formations is complex.When passing through deep soft-rock mass under non-hydrostatic high in-situ stress field,tunnels will suffer serious asymmetric deformation.There is no available support design method for tunnels under such a situation in existing studies to clarify the support time and support stiffness.This study first analyzed the mechanical behavior of tunnels in non-hydrostatic in-situ stress field and derived the theoretical equations of the ground squeezing curve(GSC)and ground loosening curve(GLC).Then,based on the convergence confinement theory,the support design method of deep soft-rock tunnels under non-hydrostatic high in-situ stress field was established considering both squeezing and loosening pressures.In addition,this method can provide the clear support time and support stiffness of the second layer of initial support.The proposed design method was applied to the Wanhe tunnel of the China-Laos railway in China.Monitoring data indicated that the optimal support scheme had a good effect on controlling the tunnel deformation in non-hydrostatic high in-situ stress field.Field applications showed that the secondary lining could be constructed properly. 展开更多
关键词 non-hydrostatic stress field high in-situ stress deep soft-rock tunnel squeezing pressure loosening pressure support design method
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Disulfiram thermosensitive in-situ gel based on solid dispersion for cataract 被引量:3
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作者 Chunjuan Zhang Tonghua Xu +3 位作者 Donglei Zhang Wei He Siling Wang Tongying Jiang 《Asian Journal of Pharmaceutical Sciences》 SCIE CAS 2018年第6期527-535,共9页
To improve the corneal permeability and water-solubility of disulfiram(DSF), which is an ocular drug for cataract, P188 was selected as a matrix to prepare solid dispersion of DSF(DSF SD) by hot melt method. The DSF S... To improve the corneal permeability and water-solubility of disulfiram(DSF), which is an ocular drug for cataract, P188 was selected as a matrix to prepare solid dispersion of DSF(DSF SD) by hot melt method. The DSF SD was characterized by DSC, XRD, and IR, and the results suggested that DSF was amorphous in DSF SD. The DSF SD was added to borate buffer solution(BBS) contained 20% poloxamer P407 and 1.2% poloxamer P188 to form in-situ gel. In vitro and in vivo experiments revealed that DSF SD combined with in-situ gel(DSF SD/in-situ gel) increased the residence time and the amount of DSF penetrated through the corneal. The pharmacodynamics studies exhibited DSF SD/in-situ gel delayed the development of selenium-induced cataract at some content. These results investigated that DSF SD/in-situ gel as a drug delivery system can improve DSF ocular permeability. 展开更多
关键词 DISULFIRAM Solid dispersion in-situ GEL PERMEABILITY Anti-cataract
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High-pressure phonon dispersion of copper by using the modified analytic embedded atom method 被引量:2
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作者 张晓军 陈长乐 凤飞龙 《Chinese Physics B》 SCIE EI CAS CSCD 2013年第9期520-524,共5页
By using the Born-von Kfirmfin theory of lattice dynamics and the modified analytic embedded atom method, we reproduce the experimental results of the phonon dispersion in fcc metal Cu at zero pressure along three hig... By using the Born-von Kfirmfin theory of lattice dynamics and the modified analytic embedded atom method, we reproduce the experimental results of the phonon dispersion in fcc metal Cu at zero pressure along three high symmetry directions and four oft-symmetry directions, and then simulate the phonon dispersion curves of Cu at high pressures of 50, 100, and 150 GPa. The results show that the shapes of dispersion curves at high pressures are very similar to that at zero pressure. All the vibration frequencies of Cu in all vibration branches at high pressures are larger than the results at zero pressure, and increase correspondingly as pressure reaches 50, 100, and 150 GPa sequentially. Moreover, on the basis of phonon dispersion, we calculate the values of specific heat of Cu at different pressures. The prediction of thermodynamic quantities lays a significant foundation for guiding and judging experiments of thermodynamic properties of solids under high pressures. 展开更多
关键词 phonon dispersion high pressure SIMULATION modified analytic embedded atom method
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Preparation of natural brucite nanofibers by the dispersion method 被引量:2
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作者 Li Xu Wen Ni +3 位作者 Wenping Li Xingde Liu Hailong Yang Xiaoguang Yang 《Journal of University of Science and Technology Beijing》 CSCD 2008年第4期489-494,共6页
The preparation of natural brucite nanofibers through dispersion by the wet process is described. The test results indicate that brucite fibers can be well dispersed by using sodium dioctyl sulfosuccinate (OT) as th... The preparation of natural brucite nanofibers through dispersion by the wet process is described. The test results indicate that brucite fibers can be well dispersed by using sodium dioctyl sulfosuccinate (OT) as the dispersant at a dispersant/fiber mass ratio of 0.15:1, dispersing for 30 min at a water/solid mass ratio of 20:1. The prepared nanofibers were characterized with X-ray diffraction (XRD), scanning electron microscope (SEM), and transmission electron microscope (TEM). It is shown that the prepared single brucite nanofiber is around 30 nm in diameter and the talus of the nonsingle brucite nanofibers is about 50-150 nm in diameter. Natural brucite mineral fibers were treated by the dispersion method to obtain nanomaterials. These fibers have significant advantages over artificial nanofibers both in yield and in cost. 展开更多
关键词 BRUCITE NANOFIBER sodium dioctyl sulfosuccinate (OT) ULTRASONIC dispersion method
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Nonlinear wave dispersion in monoatomic chains with lumped and distributed masses:discrete and continuum models
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作者 E.GHAVANLOO S.EL-BORGI 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2024年第4期633-648,共16页
The main objective of this paper is to investigate the influence of inertia of nonlinear springs on the dispersion behavior of discrete monoatomic chains with lumped and distributed masses.The developed model can repr... The main objective of this paper is to investigate the influence of inertia of nonlinear springs on the dispersion behavior of discrete monoatomic chains with lumped and distributed masses.The developed model can represent the wave propagation problem in a non-homogeneous material consisting of heavy inclusions embedded in a matrix.The inclusions are idealized by lumped masses,and the matrix between adjacent inclusions is modeled by a nonlinear spring with distributed masses.Additionally,the model is capable of depicting the wave propagation in bi-material bars,wherein the first material is represented by a rigid particle and the second one is represented by a nonlinear spring with distributed masses.The discrete model of the nonlinear monoatomic chain with lumped and distributed masses is first considered,and a closed-form expression of the dispersion relation is obtained by the second-order Lindstedt-Poincare method(LPM).Next,a continuum model for the nonlinear monoatomic chain is derived directly from its discrete lattice model by a suitable continualization technique.The subsequent use of the second-order method of multiple scales(MMS)facilitates the derivation of the corresponding nonlinear dispersion relation in a closed form.The novelties of the present study consist of(i)considering the inertia of nonlinear springs on the dispersion behavior of the discrete mass-spring chains;(ii)developing the second-order LPM for the wave propagation in the discrete chains;and(iii)deriving a continuum model for the nonlinear monoatomic chains with lumped and distributed masses.Finally,a parametric study is conducted to examine the effects of the design parameters and the distributed spring mass on the nonlinear dispersion relations and phase velocities obtained from both the discrete and continuum models.These parameters include the ratio of the spring mass to the lumped mass,the nonlinear stiffness coefficient of the spring,and the wave amplitude. 展开更多
关键词 nonlinear mass-spring chain discrete model continuum model LindstedtPoincare method(LPM) method of multiple scales(MMS) dispersion phase velocity
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Particle residence time distribution and axial dispersion coefficient in a pressurized circulating fluidized bed by using multiphase particle-in-cell simulation
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作者 Jinnan Guo Daoyin Liu +2 位作者 Jiliang Ma Cai Liang Xiaoping Chen 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2024年第5期167-176,共10页
The particle residence time distribution(RTD)and axial dispersion coefficient are key parameters for the design and operation of a pressurized circulating fluidized bed(PCFB).In this study,the effects of pressure(0.1-... The particle residence time distribution(RTD)and axial dispersion coefficient are key parameters for the design and operation of a pressurized circulating fluidized bed(PCFB).In this study,the effects of pressure(0.1-0.6 MPa),fluidizing gas velocity(2-7 m·s^(-1)),and solid circulation rate(10-90 kg·m^(-2)·s^(-1))on particle RTD and axial dispersion coefficient in a PCFB are numerically investigated based on the multiphase particle-in-cell(MP-PIC)method.The details of the gas-solid flow behaviors of PCFB are revealed.Based on the gas-solid flow pattern,the particles tend to move more orderly under elevated pressures.With an increase in either fluidizing gas velocity or solid circulation rate,the mean residence time of particles decreases while the axial dispersion coefficient increases.With an increase in pressure,the core-annulus flow is strengthened,which leads to a wider shape of the particle RTD curve and a larger mean particle residence time.The back-mixing of particles increases with increasing pressure,resulting in an increase in the axial dispersion coefficient. 展开更多
关键词 Pressurized circulating fluidized bed MP-PIC method Residence time distribution Axial dispersion coefficient
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Micromechanical modeling of longitudinal tensile behavior and failure mechanism of unidirectional carbon fiber/aluminum composites involving fiber strength dispersion
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作者 Qipeng LIU Wengang JIANG +3 位作者 Yuehua GAO Zhenjun WANG Shanshan SHI Zhi SUN 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2024年第9期312-327,共16页
This paper examines the longitudinal tensile behavior and failure mechanism of a new unidirectional carbon fiber reinforced aluminum composite through experiments and simulations.A Weibull distribution model was estab... This paper examines the longitudinal tensile behavior and failure mechanism of a new unidirectional carbon fiber reinforced aluminum composite through experiments and simulations.A Weibull distribution model was established to describe the fiber strength dispersion based on single-fiber tensile tests for carbon fibers extracted from the composite.The constitutive models for the matrix and interface were established based on the uniaxial tensile and single-fiber push-out tests,respectively.Then,a 3D micromechanical numerical model,innovatively considering the fiber strength dispersion by use of the weakest link and Weibull distribution theories,was estab-lished to simulate the progressive failure behavior of the composite under longitudinal tension.Due to the dispersion of fiber strength,the weakest link of the fiber first fractures,and stress concentra-tion occurs in the surrounding fibers,interfaces,and matrix.The maximum stress concentration fac-tor for neighboring fibers varies nonlinearly with the distance from the fractured fiber.Both isolated and clustered fractured fibers are present during the progressive failure process of the composite.The expansion of fractured fiber clusters intensifies stress concentration and material degradation which in turn enlarges the fractured fiber clusters,and their mutual action leads to the final collapse of the composite. 展开更多
关键词 Fiber reinforced metals Finite element method 3D micromechanical model Fiber strength dispersion Longitudinal tension Progressive failure
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A Solution of the Burger’s Equation Arising in the Longitudinal Dispersion Phenomenon in Fluid Flow through Porous Media by Mixture of New Integral Transform and Homotopy Perturbation Method 被引量:1
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作者 Kunjan Shah Twinkle Singh 《Journal of Geoscience and Environment Protection》 2015年第4期24-30,共7页
The main aim of the paper is to examine the concentration of the longitudinal dispersion phenomenon arising in fluid flow through porous media. These phenomenon yields a partial differential equation namely Burger’s ... The main aim of the paper is to examine the concentration of the longitudinal dispersion phenomenon arising in fluid flow through porous media. These phenomenon yields a partial differential equation namely Burger’s equation, which is solved by mixture of the new integral transform and the homotopy perturbation method under suitable conditions and the standard assumption. This method provides an analytical approximation in a rapidly convergent sequence with in exclusive manner computed terms. Its rapid convergence shows that the method is trustworthy and introduces a significant improvement in solving nonlinear partial differential equations over existing methods. It is concluded that the behaviour of concentration in longitudinal dispersion phenomenon is decreases as distance x is increasing with fixed time t > 0 and slightly increases with time t. 展开更多
关键词 Longitudinal dispersion Phenomenon Porous Media NEW INTEGRAL Transform HOMOTOPY PERTURBATION method
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Microstructures and properties of Al_2O_3 dispersion-strengthened copper alloys prepared through different methods 被引量:6
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作者 Zhi-qiao Yan Feng Chen +2 位作者 Fu-xing Ye Dong-ping Zhang Yi-xiang Cai 《International Journal of Minerals,Metallurgy and Materials》 SCIE EI CAS CSCD 2016年第12期1437-1443,共7页
Al2O3 dispersion copper alloy powder was prepared by intemal oxidation, and three consolidation methods--high-velocity compaction (HVC), hot pressing (HP), and hot extrusion (HE)--were used to prepare Al2O3 disp... Al2O3 dispersion copper alloy powder was prepared by intemal oxidation, and three consolidation methods--high-velocity compaction (HVC), hot pressing (HP), and hot extrusion (HE)--were used to prepare Al2O3 dispersion-strengthened copper (Cu-Al2O3) alloys. The microstructures and properties of these alloys were investigated and compared. The results show that the alloys prepared by the HP and HE methods exhibited the coarsest and finest grain sizes, respectively. The alloy prepared by the HVC method exhibited the lowest relative density (98.3% vs. 99.5% for HP and 100% for HE), which resulted in the lowest electrical conductivity (81% IACS vs. 86% IACS for HP and 87% IACS for HE). However, this alloy also exhibited the highest hardness (77 HRB vs. 69 HRB for HP and 70 HRB for HE), the highest compressive strength (443 MPa vs. 386 MPa for I/P and 378 MPa for HE), and the best hardness retention among the investigated alloys. The results illustrate that the alloy prepared by the HVC method exhibits high softening temperature and good mechanical properties at high temperatures, which imply long service life when used as spot-welding electrodes. 展开更多
关键词 dispersion-strengthened alloys copper alloys ALUMINA preparation methods microstructure properties
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Preparation of Thermosensitive Microcapsules Containing Water Soluble Powder by Melting Dispersion Cooling Method 被引量:1
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作者 Yoshinari Taguchi Natsukaze Saito +1 位作者 Atsunori Uchida Masato Tanaka 《Journal of Encapsulation and Adsorption Sciences》 2016年第3期57-69,共14页
It was tried to prepare the thermosensitive microcapsules containing the water soluble solid powder by the melting dispersion cooling method and to establish the optimum preparation conditions. As a model water solubl... It was tried to prepare the thermosensitive microcapsules containing the water soluble solid powder by the melting dispersion cooling method and to establish the optimum preparation conditions. As a model water soluble solid powder, sodium hydrogen carbonate was adopted in order to generate carbon dioxide gas and as a thermosensitive shell material, olefin resin with the melting point of ca. 40°C was used. In the experiment, the concentration of olefin resin in the shell material solution was mainly changed together with the concentrations of the oil soluble surfactant species and the α-tocopherol as a modifier of shell. Addition of α-tocopherol into the shell material solution could prevent the core from breaking away during the microencapsulation process and result in the higher microencapsulation efficiency, because the dispersion stability of solid powder in the shell material solution could be increased due to the increase in affinity between the shell material solution and solid powder. Also, the microencapsulation efficiency increased with the concentration of olefin resin, became maximum at 50 wt% and then, decreased. The microcapsules were found to begin melting at 36°C and to generate carbon dioxide gas. 展开更多
关键词 Thermosensitive Microcapsules MICROENCAPSULATION Sodium Hydrogen Carbonate Melting dispersion Cooling method Olefin Resin
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GALERKIN METHOD FOR COMPRESSIBLE FLOW OF CONTAMINATION FROM NUCLEAR WASTE WITH MOLECULAR DIFFUSION AND DISPERSION
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作者 程爱杰 王高洪 《Numerical Mathematics A Journal of Chinese Universities(English Series)》 SCIE 1999年第1期39-52,共14页
Abstract A system of quasilinear coupled equations which arise from simulation of contamination of geologic nulear waste in porous media is studied. We’ll discuss Galerkin method for the model of compressible flow wi... Abstract A system of quasilinear coupled equations which arise from simulation of contamination of geologic nulear waste in porous media is studied. We’ll discuss Galerkin method for the model of compressible flow with molecular diffusion and dispersion. Some new techniques are introcued to error analysis. Only one dimensional case is considered. The optimal error estimate in both L^2 and H^1 is proved. A contribution of this paper is how the dispersion term can be handled, 展开更多
关键词 COMPRESSIBLE flow CONTAMINATION of nuclear waste molecular diffusion and dispersion GALERKIN finite element method optimal error estimate.
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LOCAL DISCONTINUOUS GALERKIN METHOD FOR RADIAL POROUS FLOW WITH DISPERSION AND ADSORPTION
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作者 汪继文 刘慈群 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2004年第9期977-982,共6页
Based on the local discontinuous Galerkin methods for time-dependent convection-diffusion systems newly developed by Corkburn and Shu,according to the form of the generalized convection-diffusion equations which model... Based on the local discontinuous Galerkin methods for time-dependent convection-diffusion systems newly developed by Corkburn and Shu,according to the form of the generalized convection-diffusion equations which model the radial porous flow with dispersion and adsorption,a local discontinuous Galerkin method for radial porous flow with dispersion and adsorption was developed,a high order accurary new scheme for radial porous flow is obtained.The presented method was applied to the numerical tests of two cases of radial porous,i.e., the convection-dispersion flow and the convection-dispersion-adsorption flow,the corresponding parts of the numerical results are in good agreement with the published solutions,so the presented method is reliable.Reckoning of the computational cost also shows that the method is practicable. 展开更多
关键词 dispersion ADSORPTION radial porous flow local discontinuous Galerkin method
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ADAPTIVE FINITE ELEMENT METHOD FOR ANALYSIS OF POLLUTANT DISPERSION IN SHALLOW WATER
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作者 Somboon Otarawanna Pramote Dechaumphai 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2005年第12期1574-1584,共11页
A finite element method for analysis of pollutant dispersion in shallow water is presented. The analysis is divided into two parts : ( 1 ) computation of the velocity flow field and water surface elevation, and (2... A finite element method for analysis of pollutant dispersion in shallow water is presented. The analysis is divided into two parts : ( 1 ) computation of the velocity flow field and water surface elevation, and (2) computation of the pollutant concentration field from the dispersion model. The method was combined with an adaptive meshing technique to increase the solution accuracy, as well as to reduce the computational time and computer memory. The finite element formulation and the computer programs were validated by several examples that have known solutions. In addition, the capability of the combined method was demonstrated by analyzing pollutant dispersion in Chao Phraya River near the gulf of Thailand. 展开更多
关键词 shallow water pollutant dispersion adaptive meshing technique finite element method
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Formation of In-Situ Dispersion Strengthening Particles in Cast FeCrAl Alloy
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作者 FENG Shuo HAN Wei +2 位作者 LUO He-li Karin G LI Chang-hai 《Journal of Iron and Steel Research International》 SCIE EI CAS CSCD 2010年第2期74-78,共5页
In order to fabricate dispersion strengthened alloys strengthened by submicron-sized or nano-sized stable particles through casting routes, understanding of the formation process of dispersion strengthening particles ... In order to fabricate dispersion strengthened alloys strengthened by submicron-sized or nano-sized stable particles through casting routes, understanding of the formation process of dispersion strengthening particles in metal melt is of significance. Thus, nano NiO and TiO2 particles were selected as reactant to form in-situ dispersion strengthening oxide particles in Fe20Cr5Al alloy. Nano NiO and TiO2 particle powder was separately dispersed into nano Ni powder first. The loose mixed nano powder was added in Fe20CrSAl alloy melt when pouring the melt into mold. The study shows that nano NiO particles were not as effective as nano TiO2 particles in forming dispersion strengthening Al2O3 particles. The final diameters of dispersion strengthening oxide particles arose from nano TiO2 particles were of submicron. The Brownian collision of particles had caused this coarsening. 展开更多
关键词 in-situ particle dispersion strengthening particle formation east FeCrAl alloy
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Chebyshev Pseudo-Spectral Method for Solving Fractional Advection-Dispersion Equation 被引量:2
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作者 N. H. Sweilam M. M. Khader M. Adel 《Applied Mathematics》 2014年第19期3240-3248,共9页
Fractional differential equations have recently been applied in various areas of engineering, science, finance, applied mathematics, bio-engineering and others. However, many researchers remain unaware of this field. ... Fractional differential equations have recently been applied in various areas of engineering, science, finance, applied mathematics, bio-engineering and others. However, many researchers remain unaware of this field. In this paper, an efficient numerical method for solving the fractional Advection-dispersion equation (ADE) is considered. The fractional derivative is described in the Caputo sense. The method is based on Chebyshev approximations. The properties of Chebyshev polynomials are used to reduce ADE to a system of ordinary differential equations, which are solved using the finite difference method (FDM). Moreover, the convergence analysis and an upper bound of the error for the derived formula are given. Numerical solutions of ADE are presented and the results are compared with the exact solution. 展开更多
关键词 FRACTIONAL ADVECTION-dispersion Equation Caputo FRACTIONAL DERIVATIVE Finite DIFFERENCE method CHEBYSHEV Pseudo-Spectral method Convergence Analysis
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Mixed Method for Compressible Miscible Displacement with Dispersion in Porous Media 被引量:1
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作者 Chunguang Chen 《Numerical Mathematics A Journal of Chinese Universities(English Series)》 SCIE 2007年第1期74-82,共9页
Compressible miscible displacement of one fluid by another in porous media is modelled by a nonlinear parabolic system. A finite element procedure is introduced to approximate the concentration of one fluid and the pr... Compressible miscible displacement of one fluid by another in porous media is modelled by a nonlinear parabolic system. A finite element procedure is introduced to approximate the concentration of one fluid and the pressure of the mixture. The concentration is treated by a Galerkin method while the pressure is treated by a parabolic mixed finite element method. The effect of dispersion, which is neglected in [1], is considered. Optimal order estimates in L2 are derived for the errors in the approximate solutions. 展开更多
关键词 互溶驱替 有限元分析 流体力学 离差
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Adjoint Method-Based Algorithm for Calculating the Relative Dispersion Ratio in a Hydrodynamic System
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作者 JI Fei JIANG Wensheng GUO Xinyu 《Journal of Ocean University of China》 SCIE CAS CSCD 2021年第4期790-802,共13页
Relative dispersion ratio(RDR)can be used to quantify the deviation behavior of a water parcel’s trajectory caused by a disturbance in a hydrodynamic system.It can be calculated by using a standard method for determi... Relative dispersion ratio(RDR)can be used to quantify the deviation behavior of a water parcel’s trajectory caused by a disturbance in a hydrodynamic system.It can be calculated by using a standard method for determining relative dispersion(RD),which accounts for the growth of the deviation of a cluster of particles from a specific initial time.However,the standard method for computing RD is time consuming.It involves numerous computations on tracing many water parcels.In this study,a new method based on the adjoint method is proposed to acquire a series of RDR fields in one round of tracing.Through this method,the continuous variation in the RDR corresponding to a time series of the disturbance time t can be obtained.The consistency and efficiency of the new method are compared with those of the standard method by applying it to a double-gyre flow and an unsteady Arnold-Beltrami-Childress flow field.Results show that the two methods have good consistency in a finite time span.The new method has a notable speedup for evaluating the RDR at multiple t. 展开更多
关键词 relative dispersion particle tracking adjoint method computational efficiency
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